An introduction to theoretical mathematics via the basic concepts of analysis: fields, the real numbers, least upper bounds, the limit, sequences, Cauchy seq...
Principles of Mathematical Analysis (based on Rudin's book of that name, Chapters 1, 2, 4, 5, 3, 7). (Prerequisites: some familiarity with theoretical mathem...
I present the existence and uniqueness theorem for first-order ordinary differential equations. For an introduction to differential equations, see my video: ...
This series of 5 videos will provide an introduction to geometric calculus for those who know some vector calculus. It is based on my textbook "Vector and Ge...
U. Menne. (2017)cite arxiv:1705.05253Comment: The present text is a version with additional references but without figures of a note compiled for the Notices of the American Mathematical Society. (v4: considerably expanded introduction, 6 pages).